The generator matrix

 1  0  0  1  1  1  2  4  2  0  1  1  1  1
 0  1  0  4  5  1  1  1  1  6  0  7  6  3
 0  0  1  7  3  4  3  2  1  1  6  3  0  5

generates a code of length 14 over Z8 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+115x^12+120x^13+112x^14+48x^15+65x^16+24x^17+24x^18+3x^20

The gray image is a code over GF(2) with n=56, k=9 and d=24.
This code was found by Heurico 1.16 in 0.00197 seconds.